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March 2006 On the difference between the ordinary height and the canonical height on elliptic curves
Yukihiro Uchida
Proc. Japan Acad. Ser. A Math. Sci. 82(3): 56-60 (March 2006). DOI: 10.3792/pjaa.82.56

Abstract

We estimate the bounds for the difference between the ordinary height and the canonical height on elliptic curves over number fields. Our result is an improvement of the recent result of Cremona, Prickett, and Siksek (J. Number Theory 116 (2006), 42--68). Our bounds are usually sharper than the other known bounds.

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Yukihiro Uchida. "On the difference between the ordinary height and the canonical height on elliptic curves." Proc. Japan Acad. Ser. A Math. Sci. 82 (3) 56 - 60, March 2006. https://doi.org/10.3792/pjaa.82.56

Information

Published: March 2006
First available in Project Euclid: 4 April 2006

zbMATH: 1115.11035
MathSciNet: MR2214776
Digital Object Identifier: 10.3792/pjaa.82.56

Subjects:
Primary: 11G05, 11G50
Secondary: 11G07, 14G05

Rights: Copyright © 2006 The Japan Academy

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Vol.82 • No. 3 • March 2006
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